Home / 152.24-228.20-106.57

Finding the Fourth Proportional to 152.24, 228.20 and 106.57

Calculator

Solution

The fourth proportional to 152.24, 228.20 and 106.57 is: 159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 228.20 = 106.57 : x
  2. Step 2: Convert to fraction form
    152.24/228.20 = 106.57/x
  3. Step 3: Cross multiply
    152.24x = 228.20 × 106.57
  4. Step 4: Simplify right side
    152.24x = 24,318.17
  5. Step 5: Solve for x
    x = 24,318.17/152.24
  6. Step 6: Final answer
    x = 159.74

Related Problems

Find fourth proportional to 76.12, 114.10 and 53.28
Half scale
Find fourth proportional to 304.47, 456.39 and 213.14
Double scale
Find fourth proportional to 153.24, 229.69 and 107.57
Similar ratio
Find fourth proportional to 228.35, 342.29 and 159.85
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.